Question

The area of a rectangle reduces by 20square meter if its length is increased by 1m and breadth is reduce by 2m. The area increases by 12 square m, if the length is reduced by 3 and breadth is increased by 4m.Find the dimensions of the rectangle

Answer 1

$\huge\star\underline\mathfrak\purple{Answer}$

= (L+1) (B-2) = LB-20

= LB-2L+B-2= LB-20

=B=2L-18 -------------(eq.1)

= (L-3) (B+4) = LB+12

=LB+4L+3B-12= LB+12

= 4L-3B= 24

= 4L-3(2L-18) H= 24 ----------from eq. 1

= 4L-6L+54= 24

= -2L= 24-54

=-2L= -30

= L= 15m

In eq. 1. B = 2L-18

B= (2×15) -18

B=30-18

B=12m

Answer 2

Step-by-step explanation:

= (L+1) (B-2) = LB-20

= LB-2L+B-2= LB-20

=B=2L-18 -------------(eq.1)

= (L-3) (B+4) = LB+12

=LB+4L+3B-12= LB+12

= 4L-3B= 24

= 4L-3(2L-18) H= 24 ----------from eq. 1

= 4L-6L+54= 24

= -2L= 24-54

=-2L= -30

= L= 15m

In eq. 1. B = 2L-18

B= (2×15) -18

B=30-18

B=12m